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Bounds on asymptotics of function series in terms of asymptotics of summands

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#sequences-and-series #functional-analysis #convergence-divergence #asymptotics #uniform-convergence
917
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A sequence of continuous functions that converges uniformly to a continuous function is equicontinuous

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#real-analysis #uniform-convergence #uniform-continuity
68
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Is the Taylor expansion of $\sqrt{x+e}$ uniformly convergent w.r.t $x$?

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#sequences-and-series #uniform-convergence
120
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Pontryagin dual group inherits local compactness

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#uniform-convergence #topological-groups
121
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Prove the uniform convergence of $\sum \frac{x^n(1-x)}{\log(n+1)}$ for $x \in [0,1]$

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#real-analysis #uniform-convergence
393
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Uniform limit not being equal to pointwise limit?

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#analysis #metric-spaces #uniform-convergence #sequence-of-function
560
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Why Taylor series for $\sin$ about 0 does not converges uniformly to $\sin$ on $\mathbb{R}$?

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#real-analysis #taylor-expansion #uniform-convergence
59
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Proving the uniform convergence of a function

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#real-analysis #convergence-divergence #uniform-convergence
88
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Pointwise and uniform convergence of $\sum_{n=0}^\infty x^n(1-x)$

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#calculus #sequences-and-series #analysis #convergence-divergence #uniform-convergence
191
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Proving that this function converges uniformly.

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#sequences-and-series #uniform-convergence #sequence-of-function
708
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What's significant in Abel's Theorem Proof in Baby Rudin?

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#real-analysis #power-series #uniform-convergence
118
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On uniform convergence of $f_n(x) = (2^n +|x|^n)^{1/n}$ for $x\in \mathbb{R}$

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#real-analysis #limits #convergence-divergence #uniform-convergence
848
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Disproving uniform convergence of $e^{-nx}$

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#real-analysis #sequences-and-series #uniform-convergence
3.5k
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Understanding the Stone-Weierstrass Theorem in Rudin's Principle of Mathematical Analysis

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#real-analysis #analysis #uniform-convergence #weierstrass-approximation
313
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Uniform approximation of second derivative via Bernstein polynomial

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#polynomials #uniform-convergence #approximation-theory

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